349223784000 has 1344 divisors, whose sum is σ = 1475260480512. Its totient is φ = 72124416000.

The previous prime is 349223783999. The next prime is 349223784001. The reversal of 349223784000 is 487322943.

It is an interprime number because it is at equal distance from previous prime (349223783999) and next prime (349223784001).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×349223784000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (349223784001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 810263785 + ... + 810264215.

It is an arithmetic number, because the mean of its divisors is an integer number (1097664048).

Almost surely, 2^349223784000 is an apocalyptic number.

349223784000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349223784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737630240256).

349223784000 is an abundant number, since it is smaller than the sum of its proper divisors (1126036696512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349223784000 is a wasteful number, since it uses less digits than its factorization.

349223784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 349223784000 in words is "three hundred forty-nine billion, two hundred twenty-three million, seven hundred eighty-four thousand".